1133831520 has 240 divisors, whose sum is σ = 4050557280. Its totient is φ = 298653696.

The previous prime is 1133831513. The next prime is 1133831527. The reversal of 1133831520 is 251383311.

1133831520 is a `hidden beast` number, since 1 + 133 + 8 + 3 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1133831513) and next prime (1133831527).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133831527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152949 + ... + 1153931.

It is an arithmetic number, because the mean of its divisors is an integer number (16877322).

Almost surely, 2^1133831520 is an apocalyptic number.

1133831520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133831520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025278640).

1133831520 is an abundant number, since it is smaller than the sum of its proper divisors (2916725760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1133831520 is an equidigital number, since it uses as much as digits as its factorization.

1133831520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1133831520 is about 33672.4148228190. The cubic root of 1133831520 is about 1042.7563470837.

The spelling of 1133831520 in words is "one billion, one hundred thirty-three million, eight hundred thirty-one thousand, five hundred twenty".